Effects of adaptivity on various finite element schemes for turbulent heat transfer and flow predictions

36th AIAA Aerospace Sciences Meeting and Exhibit

Volumn , Issue , 1998, Pages

  Turgeon, E ^a   Pelletier, D ^a   Ignat, L ^a  

^a ÉCOLE POLYTECHNIQUE DE MONTRÉAL   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

AEROSPACE ENGINEERING; FINITE ELEMENT METHOD; FORECASTING; HEAT TRANSFER;

ADAPTIVE FINITE ELEMENT; ADAPTIVE PROCEDURE; BACKWARD FACING STEP; FINITE ELEMENT SCHEMES; GRID-INDEPENDENT SOLUTIONS; PIPE EXPANSIONS; TURBULENT HEAT TRANSFER; TURBULENT TRANSPORT EQUATION;

NAVIER STOKES EQUATIONS;

EID: 84982318028     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.2514/6.1998-853     Document Type: Conference Paper

References (29)

1. Kim, J., Kline, S., and Johnston, J., "Investigation of Separation and Reattachment of a Turbulent Shear Layer, Flow over a Backward Facing Step," Report MD. 37, Mech. Eng. Stanford University, 1978.
2. Nallasamy, M., "Turbulence Models and their Applications to the Predictions of Internal Flows," Computers and Fluids, Vol. 15, 1987, pp. 151-194.
3. Ilinca, F., Pelletier, D., and Garon, A., "An ad-pative finite element method for a two-equation turbulence model in wall-bounded flows," International Journal for Numerical Methods in Fluids, Vol. 24, 1997, pp. 101-120.
4. Launder, B. E., "Current Capabilities for Modelling Turbulence in Industrial Flows," Applied Scientific Research, Vol. 48, 1991, pp. 247-269.
5. Hutton, A. and Szczepura, R., "Turbulent Flow and Heat Transfer in a Sudden Pipe Expansion: A Comparison of Current Models of Turbulence," CEGB Report TPRD/B/0926/R87, 1987.
6. Dompierre, J., Vallet, M.-G., Fortin, M., Bour-gault, Y., and Habashi, W. G., "Anisotropic Mesh Adaptation: Towards a Solver and User Independent CFD," AIAA 35th, Aerospace Sciences Meeting and Exhibit, January 6-10, 1997/Reno, NV, AIAA Paper 97-0861.
7. Ignat, L., Pelletier, D., and Ilinca, F., "An Adaptive Finite Element Method for Turbulent Heat Transfer," AIAA 34th Aerospace Sciences Meeting and Exhibit, January 15-18, 1996/Reno, NV, AIAA Paper 96-0607.
8. Ilinca, F. and Pelletier, D., "A Unified Approach for Adaptive Solutions of Compressible and Incompressible Flows," AIAA 35th Aerospace Sciences Meeting and Exhibit, January 6-10, 1997/Reno, NV, AIAA Paper 970330.
9. Ilinca, F. and Pelletier, D., "Posivity Preservation and Adaptive Solution for the k-epsilon Model of Turbulence," AIAA 35th Aerospace Sciences Meeting and Exhibit, January 6-10, 1997/Reno, NV, AIAA Paper 97-0205.
10. Turgeon, É., Application d'une méthode d'élé-ments finis adaptative à des écoulements axisy-métriques, Master's thesis, Ecole Polytechnique de Montréal, 1997.
11. Launder, B. E. and Spalding, J., "The Numerical Computation of Turbulent Flows," Computer Methods in Applied Mechanics and Engineering, Vol. 3, 1974, pp. 269-289.
12. Arpaci, V. and Larsen, P., Convection Heat Transfer, Prentice-Hall, 1984.
13. Hughes, T. J. R. and Brooks, A. N., "A Multidimensional Upwind Scheme with no Crosswind Diffusion," Finite Element Methods for Convection Dominated Flows, edited by T. J. R. Hughes, Vol. 34, ASME, New York, 1979, pp. 19-35.
14. Brooks, A. N. and Hughes, T. J. R., "Streamline Upwind/Petrov-Galerkin Formulations for Convection Dominated Flows with Particular Emphasis on the Incompressible Navier-Stokes Equations," Computer Methods in Applied Mechanics and Engineering, Vol. 32, 1992, pp. 199-259.
15. Hughes, T. J. R., "Recent Progress in the Development and Understanding of SUPG Methods with Special Reference to the Compressible Euler and Navier-Stokes Equations," International Journal for Numerical Methods in Fluids, Vol. 7, 1987, pp. 1261-1275.
16. Ilinca, F., Méthodes d'elements finis adaptatives pour les écoulements turbulents, Ph. D. thesis, Ecole Poly technique de Montréal, 1996.
17. Hughes, T. J. R., Franca, L. P., and Hulbert, G. M., "A New Finite Element Formulation for Computational Fluid Dynamics: VIII. The Galerkin/Least-Squares Method for Advective-Diffusive Equations," Computer Methods in Applied Mechanics and Engineering, Vol. 73, 1989, pp. 173-189.
18. Franca, L. P. and Frey, S. L., "Stabilized Finite Element Methods: II. The Incompressible Navier-Stokes Equations," Computer Methods in Applied Mechanics and Engineering, Vol. 99, 1992, pp. 209-233.
19. Zienkiewicz, O. C. and Zhu, J. Z., "The Su-perconvergent Patch Recovery and a Posteriori Error Estimates. Part 1: The Recovery Technique," International Journal for Numerical Methods in Enqineerinq, Vol. 33, 1992, pp. 1331-1364.
20. Zienkiewicz, O. C. and Zhu, J. Z., "The Su-perconvergent Patch Recovery and a Posteriori Error Estimates. Part 2: Error Estimates and Adaptivity," International Journal for Numerical Methods in Engineering, Vol. 33, 1992, pp. 1365-1382.
21. Hétu, J.-F., Méthodes d'éléments finis adaptatives pour les écoulements visqueux incom-pressibles, Ph. D. thesis, Ecole Polytechnique de Montréal, 1991.
22. Hétu, J.-F. and Pelletier, D. H., "Adaptive Remeshing for Viscous Incompressible Flows," AIAA Journal, Vol. 30, No. 8, 1992, pp. 1986-1992.
23. Hétu, J.-F. and Pelletier, D. H., "Fast, Adaptive Finite Element Scheme for Viscous Incompressible Flows," AIAA Journal, Vol. 30, No. 11, 1992, pp. 2677-2682.
24. Chaturvedi, M. C., "Flow Characteristics of Axisymmetric Expansions," Journal of the Hydraulics Division, Proceedings of the American Society of Civil Engineers, Vol. 89, pp. 61-92.
25. Vogel, J. C. and Eaton, J. K., "Heat Transfer and Fluid Mechanics Measurements in the Turbulent Reattaching Flow Behind a Backward-Facing Step," Report MD-44, Thermosciences Division, Department of Mechanical Engineering, Stanford University, 1984.
26. Vogel, J. C. and Eaton, J. K., "Combined Heat Transfer and Fluid Dynamic Measurements Downstream of a Backward-Facing Step," Journal of Heat Transfer, Vol. 107, 1985, pp. 922-929.
27. Kim, S. E. and Choudhury, D., "Computations of Complex Turbulent Flows and Heat Transfer Using Two-Layer Based Wall Functions," Proceedings of the 30th National Heat Tranfer Conference, edited by G. Vradis and K. Woodburry, Vol. 9 of HTD-Vol. 311 ASME, New York, August 1995, pp. 169-177.
28. Baughn, J. W., Hoffman, M. A., Takahashi, R. K., and Launder, B. E., "Local Heat Transfer Downstream of an Abrupt Expansion in a Circular Channel With Constant Wall Heat Flux," Journal of Heat Transfer, Vol. 106, 1984, pp. 789-796.
29. Launder, B. E., "On the Computation of Convective Heat Transfer in Complex Turbulent Flows," Journal of Heat Transfer, Vol. 110, November 1988, pp. 1112-1128.